Dial-Up Connection & Fast-User Switching

My Dial-Up Connection used to always remain connected when I switched between user accounts using Fast-User Switching, but the connection is now sometimes lost when switching users. However, sometimes it stays in tact. It also seems as though the switch takes a bit longer than normal when the connection is lost. I've tried System Restore, but to no avail.

Thank you both for your help, but I still have this problem on fresh boots and within a very short time after I dial in. Here's some more information:

I tried System Restore, but it didn't correct the issue.

I have two user accounts set up on my system myself and my wife. We use Fast-User Switching and have 256MB of RDRAM.

When I initiate a dial-up connection on my account and attempt to switch over to her, the connection is lost. However, if her account initiates the connection and she switches over to my account, the connection is maintained. After the initial switch from her to me after she dials, the connection is maintained through a switch from my account to hers. So it seems that there is a problem when my account initiates the dial-up connection.